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Finding the Fourth Proportional to 9,835.26, 13,572.48 and 5,359.05

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Solution

The fourth proportional to 9,835.26, 13,572.48 and 5,359.05 is: 7,395.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,835.26 : 13,572.48 = 5,359.05 : x
  2. Step 2: Convert to fraction form
    9,835.26/13,572.48 = 5,359.05/x
  3. Step 3: Cross multiply
    9,835.26x = 13,572.48 × 5,359.05
  4. Step 4: Simplify right side
    9,835.26x = 72,735,531.08
  5. Step 5: Solve for x
    x = 72,735,531.08/9,835.26
  6. Step 6: Final answer
    x = 7,395.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.